3338934144 has 512 divisors, whose sum is σ = 11844403200. Its totient is φ = 808869888.

The previous prime is 3338934139. The next prime is 3338934187. The reversal of 3338934144 is 4414398333.

It is a happy number.

It is a super-2 number, since 2×3338934144² = 22296962435938025472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3338934096 and 3338934105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31204939 + ... + 31205045.

It is an arithmetic number, because the mean of its divisors is an integer number (23133600).

Almost surely, 2^3338934144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3338934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922201600).

3338934144 is an abundant number, since it is smaller than the sum of its proper divisors (8505469056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3338934144 is a wasteful number, since it uses less digits than its factorization.

3338934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 3338934144 is about 57783.5110044379. The cubic root of 3338934144 is about 1494.6377640144.

The spelling of 3338934144 in words is "three billion, three hundred thirty-eight million, nine hundred thirty-four thousand, one hundred forty-four".